Ankit invested a total of 550000 in two different schemes A and B at 5 - and 7 - respectively- Altogether his gain was 73400 - Find out the amount he invested in Scheme B-A- - 45000B- - 25000C- - 22500D- -55000

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Standard IX

Mathematics

Types of Investments and Understanding Profitability

Ankit investe...

Question

Ankit invested a total of ₹50000 in two different schemes A and B at 5% and 7% respectively. Altogether his gain was ₹3400. Find out the amount he invested in Scheme B.

₹45000

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₹25000

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₹22500

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₹55000

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Solution

The correct option is A ₹45000
Let the amount invested in scheme A be ₹x and that in scheme B be ₹y.
x + y = ₹50000 ..........(i) $\times$ 5
$\frac{5 x}{100} + \frac{7 y}{100}$ = ₹3400
$\Rightarrow$ 5x + 7y = ₹340000 ........(ii)
Solving (i) and (ii) we get :
5x + 5y = ₹250000
5x + 7y = ₹340000
-----------------------
2y = ₹90000
y = ₹45000
So, Amount invested in scheme B = y = ₹45000

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